Atkin-Lehner |
2+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
6640a |
Isogeny class |
Conductor |
6640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
-518750000 = -1 · 24 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 -1 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178,1427] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:1250:27] |
Generators of the group modulo torsion |
j |
-38981965824/32421875 |
j-invariant |
L |
5.858396459609 |
L(r)(E,1)/r! |
Ω |
1.5112230132024 |
Real period |
R |
1.9382964686313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3320b1 26560t1 59760p1 33200j1 |
Quadratic twists by: -4 8 -3 5 |